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Finding the Fourth Proportional to 393,413.64, 590,119.92 and 156,922.38

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Solution

The fourth proportional to 393,413.64, 590,119.92 and 156,922.38 is: 235,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,413.64 : 590,119.92 = 156,922.38 : x
  2. Step 2: Convert to fraction form
    393,413.64/590,119.92 = 156,922.38/x
  3. Step 3: Cross multiply
    393,413.64x = 590,119.92 × 156,922.38
  4. Step 4: Simplify right side
    393,413.64x = 92,603,022,331.81
  5. Step 5: Solve for x
    x = 92,603,022,331.81/393,413.64
  6. Step 6: Final answer
    x = 235,383.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.